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Finding the Fourth Proportional to 12,083.48, 16,675.44 and 6,705.62

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Solution

The fourth proportional to 12,083.48, 16,675.44 and 6,705.62 is: 9,253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.48 : 16,675.44 = 6,705.62 : x
  2. Step 2: Convert to fraction form
    12,083.48/16,675.44 = 6,705.62/x
  3. Step 3: Cross multiply
    12,083.48x = 16,675.44 × 6,705.62
  4. Step 4: Simplify right side
    12,083.48x = 111,819,163.97
  5. Step 5: Solve for x
    x = 111,819,163.97/12,083.48
  6. Step 6: Final answer
    x = 9,253.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.